Advertisements
Advertisements
Question
Express the following in a form free from logarithm:
2 log x + 3 log y = log a
Advertisements
Solution
2 log x + 3 log y = log a
⇒ log x2 + log y3 = log a
⇒ log (x2 . y2) = log a
⇒ x2y3 = a.
APPEARS IN
RELATED QUESTIONS
If x = 1 + log 2 - log 5, y = 2 log3 and z = log a - log 5; find the value of a if x + y = 2z.
Evaluate: logb a × logc b × loga c.
Given x = log1012 , y = log4 2 x log109 and z = log100.4 , find :
(i) x - y - z
(ii) 13x - y - z
Evaluate : `( log _5^8 )/(( log_25 16 ) xx ( log_100 10))`
Find x and y, if `("log"x)/("log"5) = ("log"36)/("log"6) = ("log"64)/("log"y)`
If x + log 4 + 2 log 5 + 3 log 3 + 2 log 2 = log 108, find the value of x.
If a = `"log" 3/5, "b" = "log" 5/4 and "c" = 2 "log" sqrt(3/4`, prove that 5a+b-c = 1
If a b + b log a - 1 = 0, then prove that ba.ab = 10
Prove that log 10 125 = 3 (1 - log 10 2)
If `"a" = "log""p"^2/"qr", "b" = "log""q"^2/"rp", "c" = "log""r"^2/"pq"`, find the value of a + b + c.
